82608073600 has 96 divisors (see below), whose sum is σ = 219765387240. Its totient is φ = 30501427200.

The previous prime is 82608073591. The next prime is 82608073607. The reversal of 82608073600 is 637080628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82608073607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951286 + ... + 1034485.

Almost surely, 2^82608073600 is an apocalyptic number.

82608073600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82608073600 is an abundant number, since it is smaller than the sum of its proper divisors (137157313640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82608073600 is a wasteful number, since it uses less digits than its factorization.

82608073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985808 (or 1985791 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 82608073600 in words is "eighty-two billion, six hundred eight million, seventy-three thousand, six hundred".